@article{article_123328, title={r-t12-Fuzzy Semiopen Sets and Fuzzy Semi Continuity Mappings in Smooth Bitopological Spaces}, journal={Journal of New Results in Science}, volume={3}, pages={76–94}, year={2014}, author={Tantawy, Osama A. E. and A.el-sheikh, Sobhy and N.majeed, Rasha}, keywords={Smooth bitopological spaces, smooth supra topological space, r-fuzzy semiopen,supra fuzzy semiclosure operator,fuzzy semi continuous ( fuzzy irresolute) maps}, abstract={In this paper we introduce the notion of r-τsemiopen sets in smooth supra topological space (X, τ12) which isinduced from smooth bitopological space (X, τ1, τ2) [1]. We showthe present notion of fuzzy semiopen set and the notion of r(i, j)fuzzy semiopen in [25] are independent. In addition by using thisnew class of r-τ12-fuzzy semiopen sets we constructed a new typeof supra fuzzy closure operator which create a new smooth supratopological space τSfiner than τ12. Finally, we introduce andstudy different types of fuzzy semi continuity, which are relatedto the constructed closure operator and their induced topologies}, number={6}, publisher={Tokat Gaziosmanpasa University}